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Prime denominators of the rational convergents to sqrt(3).
6

%I #26 Jul 11 2024 01:35:00

%S 3,11,41,571,2131,110771,1542841,15558008491,808717138331,

%T 1663476485027525263506023431291963826940251,

%U 33648911495192637123958375850447995878147331088460770783226682531

%N Prime denominators of the rational convergents to sqrt(3).

%C Next term is too large to include.

%C The next term has 79 digits. - _Harvey P. Dale_, Jul 06 2019

%C This is the prime subsequence of A002530. - _Ray Chandler_, Aug 01 2004

%C Primes p such that 3*p^2 - 2 is a square. - _Vincenzo Librandi_, May 21 2013

%H Amiram Eldar, <a href="/A096147/b096147.txt">Table of n, a(n) for n = 1..23</a>

%t Select[Denominator[Convergents[Sqrt[3],300]],PrimeQ] (* _Harvey P. Dale_, Jul 06 2019 *)

%Y Cf. A002530, A079935, A096146.

%K nonn

%O 1,1

%A _Cino Hilliard_, Jul 24 2004

%E Offset corrected by _Amiram Eldar_, Jul 11 2024